x+(x+1)+(x+8)+(x+5)+(x+4)+(x+6)=150

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Solution for x+(x+1)+(x+8)+(x+5)+(x+4)+(x+6)=150 equation:


Simplifying
x + (x + 1) + (x + 8) + (x + 5) + (x + 4) + (x + 6) = 150

Reorder the terms:
x + (1 + x) + (x + 8) + (x + 5) + (x + 4) + (x + 6) = 150

Remove parenthesis around (1 + x)
x + 1 + x + (x + 8) + (x + 5) + (x + 4) + (x + 6) = 150

Reorder the terms:
x + 1 + x + (8 + x) + (x + 5) + (x + 4) + (x + 6) = 150

Remove parenthesis around (8 + x)
x + 1 + x + 8 + x + (x + 5) + (x + 4) + (x + 6) = 150

Reorder the terms:
x + 1 + x + 8 + x + (5 + x) + (x + 4) + (x + 6) = 150

Remove parenthesis around (5 + x)
x + 1 + x + 8 + x + 5 + x + (x + 4) + (x + 6) = 150

Reorder the terms:
x + 1 + x + 8 + x + 5 + x + (4 + x) + (x + 6) = 150

Remove parenthesis around (4 + x)
x + 1 + x + 8 + x + 5 + x + 4 + x + (x + 6) = 150

Reorder the terms:
x + 1 + x + 8 + x + 5 + x + 4 + x + (6 + x) = 150

Remove parenthesis around (6 + x)
x + 1 + x + 8 + x + 5 + x + 4 + x + 6 + x = 150

Reorder the terms:
1 + 8 + 5 + 4 + 6 + x + x + x + x + x + x = 150

Combine like terms: 1 + 8 = 9
9 + 5 + 4 + 6 + x + x + x + x + x + x = 150

Combine like terms: 9 + 5 = 14
14 + 4 + 6 + x + x + x + x + x + x = 150

Combine like terms: 14 + 4 = 18
18 + 6 + x + x + x + x + x + x = 150

Combine like terms: 18 + 6 = 24
24 + x + x + x + x + x + x = 150

Combine like terms: x + x = 2x
24 + 2x + x + x + x + x = 150

Combine like terms: 2x + x = 3x
24 + 3x + x + x + x = 150

Combine like terms: 3x + x = 4x
24 + 4x + x + x = 150

Combine like terms: 4x + x = 5x
24 + 5x + x = 150

Combine like terms: 5x + x = 6x
24 + 6x = 150

Solving
24 + 6x = 150

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24' to each side of the equation.
24 + -24 + 6x = 150 + -24

Combine like terms: 24 + -24 = 0
0 + 6x = 150 + -24
6x = 150 + -24

Combine like terms: 150 + -24 = 126
6x = 126

Divide each side by '6'.
x = 21

Simplifying
x = 21

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